FTCE Professional Education Practice Exam

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Prepare for the FTCE Professional Education Exam with our interactive quiz, featuring flashcards and multiple-choice questions with hints and explanations. Ensure your success by practicing with us!

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How is the area of a circle calculated?

(3.14)r^2
2(3.14)(r)
3.14(r)(square root of r^2 + h^2)
4/3 (3.14)(r^3)

The correct answer is: (3.14)r^2

The area of a circle is calculated using the formula A = πr², where π (pi) is approximately 3.14 and r represents the radius of the circle. When this formula is presented as (3.14)r², it effectively conveys the same relationship, as 3.14 serves as an approximation for π. This means that to find the area, you square the radius (r) and multiply it by π. The other options represent different mathematical concepts. The second choice provides the formula for the circumference of a circle, which is 2πr, rather than the area. The third option seems to represent a formula related to spheres or other geometric calculations but does not apply to the area of a circle. Lastly, the fourth option relates to the volume of a sphere, using a different formula completely, which is 4/3πr³. The focus on radius squared and multiplication by π in the correct answer aligns exactly with what is needed to determine the area of a circle.